Information on Result #1129425
Linear OOA(2204, 77, F2, 5, 71) (dual of [(77, 5), 181, 72]-NRT-code), using (u, u+v)-construction based on
- linear OOA(274, 33, F2, 5, 35) (dual of [(33, 5), 91, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,129P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2130, 44, F2, 5, 71) (dual of [(44, 5), 90, 72]-NRT-code), using
- construction X applied to AG(5;F,23P) ⊂ AG(5;F,24P) [i] based on
- linear OOA(2125, 42, F2, 5, 71) (dual of [(42, 5), 85, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,23P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2119, 42, F2, 5, 65) (dual of [(42, 5), 91, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,24P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(25, 2, F2, 5, 5) (dual of [(2, 5), 5, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(5;5,2) [i]
- construction X applied to AG(5;F,23P) ⊂ AG(5;F,24P) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2204, 77, F2, 5, 70) (dual of [(77, 5), 181, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2205, 77, F2, 5, 71) (dual of [(77, 5), 180, 72]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2207, 77, F2, 5, 71) (dual of [(77, 5), 178, 72]-NRT-code) | [i] | ||